{"id":2945,"date":"2017-09-04T15:03:35","date_gmt":"2017-09-04T14:03:35","guid":{"rendered":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/?p=2945"},"modified":"2018-02-17T02:04:41","modified_gmt":"2018-02-17T01:04:41","slug":"2nde-chap-8-fonctions-polynomes-du-second-degre","status":"publish","type":"post","link":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/2nde-chap-8-fonctions-polynomes-du-second-degre\/","title":{"rendered":"Fonctions polyn\u00f4mes du second degr\u00e9 (2de &#8211; Chap 8 &#8211; 3 semaines)"},"content":{"rendered":"<p style=\"text-align: right\">Retour \u00e0 la <strong><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/exemple-de-progression-en-classe-de-seconde\/\">progression propos\u00e9e pour la classe de 2de<\/a><\/strong><\/p>\n<h1>Contenus<\/h1>\n<ul>\n<li>Variations des fonctions polyn\u00f4mes du second degr\u00e9, sym\u00e9trie de leurs courbes<\/li>\n<li>Transformations d\u2019expressions alg\u00e9briques en vue d\u2019une r\u00e9solution de probl\u00e8me.<\/li>\n<li>Identit\u00e9s remarquables ( (a\u00b1b)\u00b2)<\/li>\n<li>R\u00e9solution graphique et alg\u00e9brique d\u2019\u00e9quations \/ d\u2019in\u00e9quations.<\/li>\n<\/ul>\n<h1>\u00a0Capacit\u00e9s attendues<\/h1>\n<ul>\n<li>Conna\u00eetre les variations des fonctions polyn\u00f4mes de degr\u00e9 2 (monotonie, extremum) et la propri\u00e9t\u00e9 de sym\u00e9trie de leurs courbes.<\/li>\n<li>R\u00e9soudre graphiquement et alg\u00e9briquement des \u00e9quations du type \u00a0en choisissant l\u2019expression la plus appropri\u00e9e du polyn\u00f4me.<\/li>\n<li>Utiliser un tableau de variations pour pr\u00e9voir le nombre de solutions d\u2019une \u00e9quation de la forme<\/li>\n<li>R\u00e9soudre une in\u00e9quation \u00e0 partir de l\u2019\u00e9tude du signe d\u2019une expression produit de facteurs du premier degr\u00e9.<\/li>\n<li>Retrouver l\u2019expression d\u2019un polyn\u00f4me du second degr\u00e9 connaissant sa courbe repr\u00e9sentative.<\/li>\n<li><span style=\"color: #ff00ff\">Programmer une instruction conditionnelle<\/span><\/li>\n<\/ul>\n<h1>\u00a0R\u00e9activation \/ commentaires<\/h1>\n<ul>\n<li><span style=\"color: #ff0000\">Vocabulaire image -ant\u00e9c\u00e9dent -courbe repr\u00e9sentative<\/span><\/li>\n<li>\u00c0 l\u2019occasion de recherches d\u2019images et d\u2019ant\u00e9c\u00e9dents, travailler le d\u00e9veloppement, la factorisation, les identit\u00e9s remarquables, la r\u00e9solution des \u00e9quations-produits<\/li>\n<li>R\u00e9solution de probl\u00e8mes en combinant les approches graphique et alg\u00e9brique<\/li>\n<li>Identifier la courbe d\u2019une fonction parmi d\u2019autres \u00e0 partir de sa forme factoris\u00e9e (pour retravailler l\u2019\u00e9quation produit)<\/li>\n<\/ul>\n<h1>\u00a0Ressources pour activit\u00e9s, probl\u00e8mes transversaux, devoirs maison, &#8230;<\/h1>\n<ul>\n<li><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2016\/09\/transformer_expressions.pdf\">Transformer des expressions alg\u00e9briques<\/a><\/li>\n<li><span style=\"color: #ffcc99\">TICE\u00a0:<\/span> <a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/1775-2\/\">Aires \u00e9gales<\/a><\/li>\n<li><span style=\"color: #ffcc99\">TICE\u00a0:<\/span> <a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/pyramides-paves\/\">Pyramide Pav\u00e9<\/a><\/li>\n<li><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2016\/09\/choix_de_la_forme_adaptee.pdf\">Choix de la forme adapt\u00e9e<\/a><\/li>\n<li><span style=\"color: #ffcc99\">TICE\u00a0:<\/span> <a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/chocolats\/\">Chocolats<\/a><\/li>\n<li><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2017\/06\/Contraintes.pdf\">Contraintes<\/a><\/li>\n<li><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2017\/06\/Trouver-la-parabole.pdf\">Trouver la parabole<\/a><\/li>\n<li><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2017\/06\/Vrai-Faux-Paraboles.pdf\">VRAI-FAUX Paraboles<\/a><\/li>\n<\/ul>\n<h1>Id\u00e9es d&#8217;activit\u00e9s<\/h1>\n<ul>\n<li>Introduction des identit\u00e9s remarquables (a\u00b1b)\u00b2<\/li>\n<li>Recherche d\u2019une courbe d\u2019\u00e9quation y = ax\u00b2 + bx + c d\u00e9termin\u00e9e par 3 conditions (donn\u00e9e de trois points de courbe) se ramenant rapidement \u00e0 un syst\u00e8me 2-2 : r\u00e9activation des m\u00e9thodes de r\u00e9solution alg\u00e9brique des syst\u00e8mes d\u2019\u00e9quations lin\u00e9aires<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Retour \u00e0 la progression propos\u00e9e pour la classe de 2de Contenus Variations des fonctions polyn\u00f4mes du second degr\u00e9, sym\u00e9trie de leurs courbes Transformations d\u2019expressions alg\u00e9briques en vue d\u2019une r\u00e9solution de probl\u00e8me. Identit\u00e9s remarquables ( (a\u00b1b)\u00b2) R\u00e9solution graphique et alg\u00e9brique d\u2019\u00e9quations \/ d\u2019in\u00e9quations. \u00a0Capacit\u00e9s attendues Conna\u00eetre les variations des fonctions polyn\u00f4mes de degr\u00e9 2 (monotonie, extremum) &hellip; <\/p>\n<p><a class=\"more-link btn\" href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/2nde-chap-8-fonctions-polynomes-du-second-degre\/\">Lire la suite<\/a><\/p>\n","protected":false},"author":351,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"footnotes":""},"categories":[23,22],"tags":[93,92,91,110,29,75,90,32,71],"class_list":["post-2945","post","type-post","status-publish","format-standard","hentry","category-seconde","category-lycee","tag-2nd-degre","tag-degre-2","tag-equations","tag-expressions-algebriques","tag-fonction","tag-inequation","tag-polynome","tag-tableau-de-signes","tag-variations","nodate","item-wrap"],"_links":{"self":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/2945","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/users\/351"}],"replies":[{"embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/comments?post=2945"}],"version-history":[{"count":5,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/2945\/revisions"}],"predecessor-version":[{"id":3205,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/2945\/revisions\/3205"}],"wp:attachment":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/media?parent=2945"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/categories?post=2945"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/tags?post=2945"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}